A singularity might be considered an event initiating very dramatic change. It could range from a meteorite strike to technological advancement. In either case the upcoming event is preceded by a period of time called the event horizon. Not enough information regarding the change can escape to the past to produce a viable prediction of events following the singularity. The truth is that each second is an event horizon.
No information escapes to the past. So what we are really talking about is another of a long string of important technological breakthroughs that have led from the first thrown rock to supercomputers.
The Singularity we enjoy speculating on is the constant gradual increase in machine intelligence. There is no reason to believe that this increase will stop or slow down. On the contrary this constant increase in intelligence has been approaching since the big bang. It started with the intelligence inherent in matter and progressed to biological intelligence driven by the motivation to pass on information in the DNA molecule. This increase in biological intelligence has led to technology and in this world superior technology has led to increased chances of passing that DNA into the future.
As machine intelligence increases it feeds upon itself and increases the rate of improvement. It is increasing tremendously faster than the rate of biological improvement. One of the things to be discussed here will be whether the society that eventually develops the machines whose abstract thinking exceeds the human will dominate or share or be victims like the rest.
Regardless of the answer to these questions it is inevitable that excluding the real possibility of a cataclysm, machines will get smarter and the limits are unknowable.
Speculate yourself silly, cheers rd (bob) hanson